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3980560428 = 22331324672
BaseRepresentation
bin1110110101000010…
…1000100000101100
3101021102010102101000
43231100220200230
531123010413203
61454553120300
7200433130305
oct35520504054
911242112330
103980560428
111762a16a69
129310b9090
134b58a6400
1429a9337ac
151846d54a3
hexed42882c

3980560428 has 108 divisors (see below), whose sum is σ = 11198860680. Its totient is φ = 1222165152.

The previous prime is 3980560403. The next prime is 3980560453. The reversal of 3980560428 is 8240650893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3980560428 is a `hidden beast` number, since 3 + 9 + 80 + 560 + 4 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3980560403) and next prime (3980560453).

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×39805604282 = 31689722641919086368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8523451 + ... + 8523917.

Almost surely, 23980560428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980560428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599430340).

3980560428 is an abundant number, since it is smaller than the sum of its proper divisors (7218300252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3980560428 is a wasteful number, since it uses less digits than its factorization.

3980560428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3980560428 is about 63091.6827165039. The cubic root of 3980560428 is about 1584.8253418055.

The spelling of 3980560428 in words is "three billion, nine hundred eighty million, five hundred sixty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 467 468 507 676 702 934 1014 1401 1404 1521 1868 2028 2802 3042 4203 4563 5604 6071 6084 8406 9126 12142 12609 16812 18213 18252 24284 25218 36426 50436 54639 72852 78923 109278 157846 163917 218089 218556 236769 315692 327834 436178 473538 654267 655668 710307 872356 947076 1308534 1420614 1962801 2130921 2617068 2835157 2841228 3925602 4261842 5670314 5888403 7851204 8505471 8523684 11340628 11776806 17010942 23553612 25516413 34021884 36857041 51032826 73714082 76549239 102065652 110571123 147428164 153098478 221142246 306196956 331713369 442284492 663426738 995140107 1326853476 1990280214 3980560428